Game of Life: Tribes

#Analysis Setup And Method

#Study Question

The experiments ask how changing initial occupied-cell density changes the evolution and final outcome of 22 presets:

  • In Wildfire, occupied cells are combustible Grass, Bush, or Tree cells.
  • In SIRSD Epidemic, occupied cells are living population cells, initially all Susceptible.

The target density was varied while the preset rules, grid, topology, random seed, and initial active cells were kept fixed.

#Run Protocol

For each requested density:

  1. Set the brush density and generate the initial vegetation or Susceptible population.
  2. Place 1212 active cells: burning cells for Wildfire or Infectious cells for Epidemic.
  3. Run until active fire (Ember + Fire + Blaze) or Infectious reaches 00.
  4. Download the recorded run and its metrics.
  5. Restart and repeat until 3030 runs have been collected, then move to the next density.

This sweep was automated using the scripts under analysis/ in the repository while the project was served locally.

#Shared Configuration

Setting Value
Grid 512×512512\times512
Topology Toroidal
Ruleset random seed 4242
Initial active cells 1212
Repetitions per density 3030

Applying a preset does not itself select the grid size, topology, or initial layout, so these settings must be manually set to reproduce the runs.
The fixed ruleset random seed makes Epidemic probability rolls reproducible for a given cell, generation, and rule. Wildfire has no probabilistic evolution rules, so it is deterministic once its initial grid is fixed, regardless of random seed. Initial brush layouts still differ because brush strokes use a separate advancing randomization counter. Consequently, the runs vary mainly through their randomized initial layouts.

#Density Coverage

#Wildfire

The analysis contains 570570 runs across 1919 density percentages:

Sweep Densities
Low 50,55,60,65,70,75,8050,\,55,\,60,\,65,\,70,\,75,\,80
Dense 85,86,87,88,89,90,91,92,93,94,9585,\,86,\,87,\,88,\,89,\,90,\,91,\,92,\,93,\,94,\,95
High 100100

The dense 8595%85\text{–}95\% sweep contains 330330 runs and was added to resolve the observed regime change from the initial sweep.

#Epidemic

The analysis contains 330330 runs across 1111 density percentages:

Sweep Densities
Low 30,3530,\,35
Dense 40,41,42,43,44,4540,\,41,\,42,\,43,\,44,\,45
High 50,55,6050,\,55,\,60

The dense 4045%40\text{–}45\% sweep contains 180180 runs and was added to resolve the observed regime change from the initial sweep.

Game of Life: Tribes · Simulation v1.0.0 · Open source